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What is the equation of the tangent to the curve y=x^3+3x^2+2 when x=2

dy/dx=3x^2+6xx=2m=3(2)^2+6(2)=24at x=2 y=22(2,22)y-22=24(x-2)y-22=24x-48y=24x-26
KH
Answered by Kieran H. • Maths tutor
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What is 700 million in standard form?

The number 700 million can be written out in its longer form of 700,000,000.We know that a number in standard form is written in the form of a x 10 n , where a is a number greater than or equal to 1, and les...
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Answered by Carter B. • Maths tutor
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Find the equation of a straight line given two of its points (1,3) and (-2,5). Write your answer in the form y = mx + c.

There are two main steps required to find the equation of a straight line: Finding the gradient of the line AND the slope intercept c. The gradient is the value " m " in the equation " y = mx ...
SC
Answered by Stanislaw C. • Maths tutor
5397 Views

Solve ∫(x+2)/(2x^2+1)^3 dx

Since (x+2)/(2x 2 +1) 3 can't be easily simplified into a more straightforward integral, we have to rely on some more advanced integration methods. Before trying things like substitution, or integration by p...
JM
Answered by Jack M. • Maths tutor
6592 Views

A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.

Stationary points - dy/dx =0dy/dx = x 2 -8x +12 ( differentiating- early a level skill). Solving x 2 -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values back into the original equ...
JC
Answered by Joseph C. • Maths tutor
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